Two-dimensional political orientations (right-left, conservative-liberal, etc) don't tend to map well onto one country from another, even when the populations of the countries under consideration share large swaths of identity in terms of language, history, religion, and culture. Corresponding party affiliations map even more poorly still from country to country. In the US, secession is generally regarded as a goal of a subset of those on the right, in large part due to the history of the American South. That is far from a universal pattern, however.
With polls showing a statistical dead heat in the forthcoming referendum on Scottish independence, it's perhaps interesting to note that the quite leftist country of Scotland--whose possible withdrawal from the UK seriously threatens Labor's national presence--doesn't have particularly leftist cousins across the pond.
In fact, of the 42 different ethnic categories listed in the GSS, those of self-identified Scottish descent (n = 1,308) are members of the single most conservative ethnicity in America, with 43.4% placing themselves somewhere in the "slightly conservative/conservative/extremely conservative" nexus, compared to 34.5% of the US as a whole. They are more conservative than those of English or Welsh or German descent, and even more conservative than those who identify as "American only". Scottish-Americans are even redder than the McCain belt is.
GSS variables used: ETHNIC, POLVIEWS(1-4)(5-7)